Donna Kubik- Ultra high energy cosmic rays

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    Ultra high energy cosmic rays

    Donna Kubik

    Spring, 2005

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    Cosmic accelerators

    Thanks to Angela Olinto for

    invaluable references and to

    Jeff Wilkes for getting me into

    all this in the first place!

    Injection, acceleration, propagationin SN1987A

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    References

    1. Ultra High Energy Cosmic Rays: The theoretical challenge, A. V.Olinto, Phys.Rept.333 (2000) 329-348

    astro-ph/0002006

    2. Origin and Propagation of Extremely High Energy Cosmic Rays,Pijushpani Bhattacharjee and Guenter Sigl, Phys.Rept. 327(2000) 109-247

    astro-ph/9811011

    3. Introduction to Ultrahigh Energy Cosmic Ray Physics, PierreSokolsky, Addison-Wesley, 1989

    4. High Energy Cosmic Rays, Todor Stanev, Springer, 2004

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    Cosmic accelerators

    Notice the similar geometry

    of cosmic ray accelerators, like

    SN1987A, and the manmade

    accelerator at Fermilab ;) !

    Injection, acceleration, propagationin SN1987A

    Injection, acceleration, propagationin a manmade accelerator

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    Cosmic accelerators

    Energy spectra of cosmic rays

    have been shaped by a

    combination of injection,

    acceleration and propagation

    Injection, acceleration, propagationin SN1987A

    Injection, acceleration, propagationin a manmade accelerator

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    Cosmic accelerators

    These processes are modified

    by energy losses, collisions,

    and perhaps leakage from the

    galaxy, and they all depend on

    particle energies.

    Synchrotron loss in manmade accelerators

    Synchrotron emission from high energyelectrons in M87

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    Cosmic ray detection

    The cosmic ray spectrum has

    been measured over a wide

    range of energy

    The method of CR detectiondepends on the energy of the

    particles

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    Direct detection

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    Indirect detection

    > 0.1x1015 eV

    Flux is too low for directdetection

    Extensive air showers(EAS)

    Ground arrays

    Atmospheric light Cherenkov

    Nitrogenscintillation(UV)

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    EAS

    The atmosphere above thearea of the EAS array servesas a natural transducer andamplifier for the detector.

    The primary energetic cosmicray collides with a nucleus inthe air, creating manysecondary particles whichshare the original energy.

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    EAS

    The secondary particles alsocollide with nuclei in the air,creating a new generation ofstill more particles thatcontinue the process.

    This cascade, called an"extensive air shower, arrivesat ground level with billions ofenergetic particles that can bedetected over approximately10 square kilometers.

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    Auger Observatory

    Above 1019 eV, the arrival rateis only 1 particle per squarekilometer per year.

    Cosmic rays with energies

    above 1020 eV have anestimated arrival rate of only1/km2 per century!

    Need huge area

    i.e. Auger Observatorydetection area of 3000 squarekilometers Click on image to see EAS animation of

    Pierre Auger Cosmic Ray Observatory Array

    (Must be online to view animation)

    Animation from Auger website http://www.auger.org/photos/AnimGif.html

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    Composition

    The particle identity isdetermined by the muoncontent of the shower inground arrays and the depth ofshower max in fluorescence

    detectors

    But this is difficult analysis athigh energies

    Need more data

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    The cosmic ray spectrum Part 1

    < 1 GeV

    Temporally correlated withsolar activity solar origin

    1 GeV to Knee

    Galactic origin (SNRshocks)

    Knee to Ankle

    Larger shocks (galacticwinds) and SN explosions

    into stellar winds

    Graph from [2]

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    The cosmic ray spectrum Part 2

    Ankle (>1019.5)

    Drastic change is slope

    Crossover from Galactic toextragalactic origin?

    100s of events >1019 eV

    20 events above 1020 eV

    AGASA

    Flys Eye

    HIRES

    Highest-energy event is3.2x1020 eV

    Graph from [2]

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    GZK cutoff Part 1

    The many events that have beenobserved above 7 x 1019 eV withno sign of the Greisen-Zatsepin-Kuzmin (GZK) cutoff was notexpected

    If the Ultra High Energy CosmicRays (UHECRs) are protons,nuclei, or photons fromextragalactic sources, an energycutoff should be present

    Protons with an initialE > 1020 eV

    from >100 Mpc should appear at alower energy due to energy loss tothe CMB.

    Graph from [2]

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    GZK cutoff Part 2

    The CMB has a blackbody spectrum with T=2.7 K corresponding to

    mean energy of 6.34x10-4 eV [4]. A proton of high enough energy

    (> 7x1019 eV) will interact inelastically with CMB photons producing

    pions via

    0!"

    !"

    pp

    np

    #+

    #++

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    GZK cutoff Part 3

    With each collision, the proton would lose roughly 20% of its energy

    This only happens for cosmic rays that have at least 6 x 1019 eV ofenergy, and this is the predicted GZK cutoff.

    So if cosmic rays were given an initial energy greater than that, theywould lose energy in repeated collisions with the cosmic microwavebackground until their energy fell below this cutoff.

    However, if the source of the cosmic ray is close enough, then it willnot have made very many collisions with microwave photons, and its

    energy could be greater than the GZK cutoff.

    This distance is about 150 million light years.

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    Calculation of the required UHECR

    proton energy for pion photoproduction

    The approach is to calculate theproton energy, Ep, required forpion photoproduction usingconservation of 4-momenta, P.

    Considering the left hand side inthe lab frame and the right handside in the center-of-mass frame,where

    Ep = UHECR proton energy(the unknown)

    E= average CMB photonenergy = 6.34x10-4 eV [4]

    mp= 938.27 MeV/c2 m

    0= 134.97 MeV/c2

    P= 4-momentum

    Conclusion: Ep~2x1020 eV

    See Ref 4 p221 (Stanev)

    ( )( )

    ( )

    eVxE

    cc

    MeVMeV

    eVx

    ccMeV

    E

    mmE

    mE

    cm

    cmmcmEEcm

    PPPPPPPP

    PPPP

    p

    p

    pp

    ppp

    TOTTOTppp

    TOTTOTp

    20

    2

    24

    22

    2

    222222

    2

    102

    )97.134)27.938*2(

    )1034.6(2

    )/97.134(

    22

    photonasit'because0,

    )()2()(

    2

    )(

    0

    0

    0

    !"#

    $

    %&

    ' +=

    +=

    =

    +=++

    =++

    =+

    (

    )

    *

    )

    *

    )**

    **

    *

    *

    massofCenterLab

    0

    !

    !+ "# pp

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    Calculation of the gamma wall energy

    The approach is to calculate thephoton energy, E

    , required for

    e+e- production on the CMB usingconservation of 4-momenta, P.

    Considering the left hand side inthe lab frame and the right handside in the center-of-mass frame,where

    E

    = gamma ray (gamma wall)photon energy

    Ecmb= average CMB photonenergy = 6.34x10-4 eV [4]

    me+= me-= 0.511 MeV/c2 P= 4-momentum

    Conclusion: E~8.2x1014 eV

    See Ref 4 page 264 (Stanev)

    ( )( )

    ( )( )

    [ ]

    eVxE

    eVx

    ccMeVcMeVE

    E

    cmmE

    cmandcm

    cmmcmEEcm

    PPPPPPPP

    PPPP

    cmb

    ee

    cmb

    eecmbcmb

    TOTTOTcmbcmb

    TOTTOTcmb

    14

    4

    2222

    22

    22

    222222

    2

    102.8

    )1034.6(2

    )/511.0/511.0(

    2

    photonsrethey'because,0

    )()2()(

    2

    )(

    !

    +=

    +=

    =

    +=++

    =++

    =+

    "

    "+

    "+

    #

    #

    #

    #

    ##

    ##

    #

    #

    #

    massofCenterLab

    !

    !+"+

    eewallcmb

    ##

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    GZK cutoff Part 4

    Above the threshold, multiple pion production becomes important.The +will decay via

    Thus, for each such interaction there will be three neutrinos, as wellas gamma rays from the decay of the :

    +++

    !! ee

    """"#

    !!" #0

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    GZK cutoff Part 5

    The presence or absence of the GZK cutoff is fundamental to

    understanding the sources and nature of the propagation of UHECR

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    Possible sources

    Sources of high energy CR arethought to be powerful radiogalaxies

    But they are located>>150 Mpc from Earth

    This is a major problem if theparticles are conventionalparticles as nucleons or heavy

    nuclei

    They should lose energy viathe GZK effect The neighboring superclusters

    (Earth is at center of image,

    in the Virgo Supercluster)

    100 MLY

    30.6 Mpc

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    Possible sources

    Mean free path ~ few Mpc

    This process limits CRsources to

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    Isotropy

    Regardless of whether thesource of the UHECR isGalactic or extragalactic, atthese high energies, theparticle paths should not be

    significantly affected bymagnetic fields, so their arrivaldirection should point back totheir source

    But the arrival directions are

    isotropic

    Note, B= uG in Galaxy,

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    The Challenge

    The absence of a GZK cutoffand the isotropy of arrival directionsare two of the main challenges that models for the origin of UHECRsface

    Maybe the source resides in an extended Galactic halo

    That eases the difficulty of the lack of GZK cutoff but is a challengeto acceleration mechanisms

    There are 2 scenarios popularly proposed for the origin of UHECRs:

    Bottom-up

    Top-down

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    Two scenarios Part 1

    Bottom-up

    Astrophysical acceleration

    Top-down

    Physics beyond the standardmodel

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    Two scenarios Part 2

    Bottom-up

    Main hurdle is the need tofind a way to produce the

    high energies

    Top-down

    Main hurdle is to account

    for the high flux

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    Two scenarios Part 3

    Bottom-up

    Pro: The highest energyevent (3.2 x 1020 eV)

    argues for the existence ofZevatrons (ZeV=1021 eV),

    Con: But even the mostpowerful astrophysicalobjects, as radio galaxies

    and AGNs, can barelyaccelerate chargedparticles to 1020 eV

    Top-down

    Pro: Decay of very highmass relics from the early

    universe; no accelerationmechanism needed

    Con: The dynamics oftopological defectgeneration and evolution

    generally selects thepresent horizon scale asthe typical distancebetween defects whichimplies a very low flux

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    Two scenarios Part 4

    Bottom-up

    Statistical acceleration

    Fermi acceleration

    Acceleration in shocksassociated with SNremnants, AGNs, radiogalaxies

    Direct acceleration

    Assumes existence of a

    strong electromagnetic field Acceleration in strong E

    fields generated byrotating neutron starswith high surface Bfields

    Top-down

    Relics of the very earlyuniverse (topological defectsor superheavy relics) produced

    after the end of inflation candecay today and generateUHECR

    ZeV energies are not achallenge since symmetry-breaking scales at the end of

    inflation are >> 1021 eV (typicalparticle masses between 1022 -1025 eV)

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    Hillas plot Part 1

    Acceleration of UHECR inastrophyiscal plasmasoccurs when large-scalemacroscopic motion, suchas shocks ad turbulentflows, is transferred toindividual particles

    The max energy can beestimated by the gyroradiusof the particles contained inthe acceleration region

    Graph from [1]

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    Hillas plot Part 2

    For a given strength, B,and coherence length L, ofthe field embedded in theplasma, Emax=ZeBL

    Hillas plot shows knownastrophysical sources withreasonable BL

    B

    L

    Graph from [1]

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    GRB

    Can GRBs be a source ofUHECR?

    GRB and UHECR are bothdistributed isotropically in

    the sky

    Average rate of gamma rayenergy emitted by GRBs iscomparable to the energygeneration rate of UHECRof energy > 1019 eV

    GZK still a problem

    Isotropic distribution of GRB

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    Hybrid Models

    Uses physics beyond the standard model in a bottom-up approach,hence termed Hybrid

    Uses Zevatrons to generate UHECR that are particles other thanprotons, nuclei, and photons,

    One example: Neutrino masses ~ 1eV, the relic neutrinobackground will cluster in halos of galaxies and clusters of galaxies.High energy neutrinos accelerated in Zevatrons can annihilate onthe neutrino background and form UEHCR through the hadronic Zdecay.

    Neutrinos do not suffer from GZK losses, so the Zevatrons can belocated much farther away

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    Power law

    Power law exists over many

    decades

    Source must generate a power

    law spectrum

    Graph from [2]

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    Composition

    The composition of theUHECR could helpdiscriminate betweenproposed sources

    Galactic disk models need toinvoke heavier nuclei (Fe) tobe consistent with the isotropicdistribution

    Extragalactic models favorproton primaries

    Photon primaries morecommon among top-downscenarios

    Graph from [2]

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    The future

    The new experiments, HIRES,

    the Auger Observatory, and

    the OWL-Airwatch satellite will

    improve data on the spectrum

    and spatial distribution, andcomposition of UHECR.

    The lack of a GZK cutoff

    should become apparent with

    Auger and, if so, most

    extragalactic Zevatrons maybe ruled out.

    Graph from [2]

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    The future

    The observed spectrum will

    distinguish Zevatrons or top-

    down model by testing power

    las vs. QCD fragmentation fits

    The correlation of arrival

    directions of UHECR with

    some known structure as the

    Galaxy, Galactic halo, Local

    Group, or Local Supercluster

    would be key in differentiatingbetween different models

    Graph from [2]